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Finding the Fourth Proportional to 465.44, 697.97 and 248.98

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Solution

The fourth proportional to 465.44, 697.97 and 248.98 is: 373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.44 : 697.97 = 248.98 : x
  2. Step 2: Convert to fraction form
    465.44/697.97 = 248.98/x
  3. Step 3: Cross multiply
    465.44x = 697.97 × 248.98
  4. Step 4: Simplify right side
    465.44x = 173,780.57
  5. Step 5: Solve for x
    x = 173,780.57/465.44
  6. Step 6: Final answer
    x = 373.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.